Answer:
the interior angles of any triangle are equal to 180.
In other words m<BAC + m<ABC + m<ACB = 180.
Therefore,
(3x-1) + (8x-35) + (6x-5) = 180
Now that we have an equation, we can solve for x:
(3x-1) + (8x-35) + (6x-5) = 180
Combine like terms:
3x+8x+6x-1-35-5
17x-41 = 180
Add 41 to each side:
17x-41+41 = 180+41
17x=221
Divide by 17 on both sides:
x=13
Now to check if this is correct we need to plug in x for each equation and the three numbers combined should equal 180.
3x-1
3(13)-1
38
6x-5
6(13)-5
78-5
73
8x-35
8(13)-35
104-35
69
Now we just add them to see if they equal 180
38+73+69 = 180
x=13 is valid
Step-by-step explanation:
